Two small bals A and B, each of mass m, are joined rigidlyl by a light horizontal rol of lengh L. The rod is clasmped at the centre in such a way that it c an rotate freely about a verticl axis through its centre. The systemis rotated with an angualr speed `omega` about the axis. A particle P of masss m kept at rest sticks to the ball A as the ball collides with it. Find the new angular speed of the rod.
Text Solution
Verified by Experts
The correct Answer is:
2
Topper's Solved these Questions
RIGID BODY DYNAMICS - I
RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MATRIX-MATCH)|7 Videos
RELATIVITY
RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|5 Videos
RIGID BODY DYNAMICS-II
RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|2 Videos
Similar Questions
Explore conceptually related problems
Two small balls A and B each of mass m, are joined rigidly to the ends of a light rod of length L figure. The system translates on a frictionless horizontal surface with a velocity v_0 in a direction perpendicular to the rod. A particle P of mass kept at rest on the surface sticks to the ball A as the ball collides with it . Find a. the linear speeds of the balls A and B after the collision, b. the velocity of the centre of mass C of the system A+B+P and c. the angular speed of the system about C after the collision.
Suppose the rod with the balls A and B of theprevious problem is clamped at the centre in such a way that it ca rotate freely about a horizontal axis through the clamp. The system is kept at rest in the horizontal position. A particle P of the same mass m is dropped from a heigh h hon the ball B. The particle collides with B and sticks to it. a. Find the angular momentum and the angular speed of the system just after the collision. b. What should be the minimum value of h so that the system makes a full rotation after the collision.
Two small balls A and B each of mass m, are attched erighdly to the ends of a light rod of length d. The structure rotates about the perpendicular bisector of the rod at an angular speed omega . Calculate the angular momentum of the individual balls and of the system about the axis of rotation.
A horizontal disc rotates freely about a vertical axis through its centre. A ring, having the same mass and radius as the disc, is now gently placed on the disc. After some time, the two rotate with a common angular velocity, then
Two particles , each of mass m and charge q , are attached to the two ends of a light rigid rod of length 2 R . The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod is
A uniform disc of mass m and radius R rotates about a fixed vertical axis passing through its centre with angular velocity omega . A particle of same mass m and having velocity of 2omegaR towards centre of the disc collides with the disc moving horizontally and sticks to its rim. Then
Two small balls, each of mass m are connected by a light rigid rod of length L. The system is suspended from its centre by a thin wire of torsional constant k. The rod is rotated about the wire through an angle theta_0 and released. Find the tension in the rod as the system passes through the mean position.
A uniform rod of mass 200 grams and length L = 1m is initially at rest in vertical position. The rod is hinged at centre such that it can rotate freely without friction about a fixed horizontal axis passing through its centre. Two particles of mass m = 100 grams each having horizontal velocity of equal magnitude u = 6 m/s strike the rod at top and bottom simultaneously as shown and stick to the rod. Find the angular speed (in rad/sec.) of rod when it becomes horizontal.
A uniform rod of legth L is free to rotate in a vertica plane about a fixed horizontal axis through B . The rod begins rotating from rest. The angular velocity omega at angle theta is given as
RESNICK AND HALLIDAY-RIGID BODY DYNAMICS - I-PRACTICE QUESTIONS (INTEGER TYPE))